classes_winter09_113AID28_P_17_113A_W09 - (Remark Dirac...

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Preview #17 (Chem113A W’09, due Fri. 2/13/09 at 12:05pm in class) Assigned reading: Handout #6 “Quantum SHO: Dirac’s Approach” pp. 79-80 Attendance record : I am [ ] present at or [ ] absent from this class meeting (see date and time above). Name: ________________________ Forming study groups is permissible, but you must construct your solutions independently. By writing down my name, I confirm that I strictly obey the academic ethic code when doing this preview and my statement on attendance (above) is correct. Please write down the names of everyone who you worked with on this preview in the space above. [1] Commutator algebra
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Unformatted text preview: (Remark: Dirac algebra is commonly used in the real world, and, as a course objective, I hope the knowledge you learn in this course can really help your future career in the real world! This preview is a simple exercise to prepare us for using the Dirac algebra to solve quantum SHO—the most important quantum system.) Dirac’s approach in solving quantum SHO is based on commutator relations. Please prove by commutator algebra the following commutator relations: (Hint: a , a + ) , and H are defined in Eq. (6.57), (6.58), (6.62), respectively. You may find the following commutator algebra formula helpful: [x, p]=i ħ...
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